Question

Using remainder Theorem , show that:-
(x -√3) is a factor of x³-x²-3x + 3.​

Answer 1

Step-by-step explanation:

$x = \sqrt{3} \\ x {}^{3} - {x}^{2} - 3x + 3 \\ ( \sqrt{3} ) {}^{3} - ( \sqrt{3} ) {}^{2} - 3 \times \sqrt{3} + 3 \\ 3 \sqrt{3} - 3 - 3 \sqrt{3} + 3 = 0$